A ray of light which is incident in air on the surface of the glass block is deviated through 15 degree. The angle of incidwnce in air is 60 degree.What
review Snell's Law
To find the angle of refraction inside the glass block, we can use Snell's law. Snell's law states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the velocities of light in the two mediums. It can be written as:
n₁ * sin(θ₁) = n₂ * sin(θ₂)
Where:
n₁ = refractive index of the first medium (air)
θ₁ = angle of incidence in the first medium (air)
n₂ = refractive index of the second medium (glass)
θ₂ = angle of refraction in the second medium (glass)
In this case, we are given that the angle of incidence (θ₁) in air is 60 degrees and the angle of refraction (θ₂) inside the glass block is 15 degrees. We need to find the refractive index of glass (n₂).
Since we know the angle of incidence and the angle of refraction, we can rearrange Snell's law to solve for the refractive index (n₂):
n₂ = (n₁ * sin(θ₁)) / sin(θ₂)
The refractive index of air (n₁) is approximately 1.0003. The refractive index of glass depends on the type of glass, but for simplicity, we can assume it to be around 1.5.
Using these values in the formula, we can calculate the refractive index of glass:
n₂ = (1.0003 * sin(60°)) / sin(15°)
n₂ ≈ 1.502
Therefore, the refractive index of the glass block is approximately 1.502.